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Simplifying -3x + 10 = -5(x + 7) + -9 Reorder the terms: 10 + -3x = -5(x + 7) + -9 Reorder the terms: 10 + -3x = -5(7 + x) + -9 10 + -3x = (7 * -5 + x * -5) + -9 10 + -3x = (-35 + -5x) + -9 Reorder the terms: 10 + -3x = -35 + -9 + -5x Combine like terms: -35 + -9 = -44 10 + -3x = -44 + -5x Solving 10 + -3x = -44 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -3x + 5x = -44 + -5x + 5x Combine like terms: -3x + 5x = 2x 10 + 2x = -44 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 2x = -44 + 0 10 + 2x = -44 Add '-10' to each side of the equation. 10 + -10 + 2x = -44 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -44 + -10 2x = -44 + -10 Combine like terms: -44 + -10 = -54 2x = -54 Divide each side by '2'. x = -27 Simplifying x = -27
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